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On G-invariant Minimal Hypersurfaces with Constant Scalar Curvatures in S5

  • So, Jae-Up (Department of Mathematics and Institute of Pure and Applied Mathematics, Chonbuk National University)
  • Received : 2012.07.25
  • Accepted : 2012.08.23
  • Published : 2013.12.23

Abstract

Let $G=O(2){\times}O(2){\times}O(2)$. Then a closed G-invariant minimal hypersurface with constant scalar curvature in $S^5$ is a product of spheres, i.e., the square norm of its second fundamental form, S = 4.

Keywords

Acknowledgement

Supported by : Chonbuk National University

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